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LCM of 680, 252, 766, 757

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 680, 252, 766, 757 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 680, 252, 766, 757. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 680,252,766,757

Given numbers are 680,252,766,757

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 680,252,766,757 is 12420644040.

Find LCM of 680,252,766,757 with Prime Factorization


2 680, 252, 766, 757
2 340, 126, 383, 757
170, 63, 383, 757

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 170 x 63 x 383 x 757 = 12420644040

Therefore, the lowest common multiple of 680,252,766,757 is 12420644040.

LCM Formula to Find Lowest Common Multiple of 680,252,766,757

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

680 x 252 x 766 x 757 = 99365152320

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

766 : 1, 2, 383, 766

757 : 1, 757

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,252,766,757, is 1.

Now, the common factors can be found like this.

680:2x 2x 2x 5x 17

252:2x 2x 3x 3x 7

766:2x 383

757:757

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2 = 8

Therefore, the value for common factors is 8.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 99365152320/(1x8)

LCM = 99365152320/8

LCM = 12420644040

Thus, we can understand that the LCM of 680,252,766,757 is 12420644040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 680, 252, 766, 757

1. What is the LCM of 680, 252, 766, 757?

Answer: LCM of 680, 252, 766, 757 is 12420644040.

2. How to calculate the LCM of 680, 252, 766, 757?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 680, 252, 766, 757.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.